A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (μ=4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled?

Question

Accepted Answer

(1) 10 cm. Let water height be h; seen from above it appears (3h)/4 deep. The empty part above the water is 17.5-h and looks its true length. He feels half filled when (3h)/4=17.5-h. (7h)/4=17.5⇒ h=10 cm.

A glass tumbler having inner depth of 17.5 cm is kept on a table. A student starts pouring water (μ=4/3) into it while looking at the surface of water from the above. When he feels that the tumbler is half filled, he stops pouring water. Up to what height, the tumbler is actually filled?

Step-by-step solution

Why the other options are wrong